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A (CF)-mapping of integral functional of locally lipschitz functions

# A (CF)-mapping of integral functional of locally lipschitz functions,10.1007/s10898-006-9086-0,Journal of Global Optimization,Tae-Hwan Yoon

A (CF)-mapping of integral functional of locally lipschitz functions
We find a (CF)-mapping of the integral functional of locally Lipschitz functions f t parametrized by $$t \in T$$. In the process of obtaining a (CF)-mapping, the hypothesis of upper semicontinuity of the set-valued map $$t \mapsto C_{f_t} (x)$$ is needed, where $$C_{f_{t}} (x)$$ denotes a convexificator of f t at x. As a corollary of our result, we get (CF)-mappings which are obtained by Clarke subdifferentials and Michel–Penot subdifferentials, respectively. Finally, the examples specifically deriving a convexificator of the integral functional are provided.
Journal: Journal of Global Optimization , vol. 38, no. 1, pp. 119-127, 2007
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## References (3)

### Hunting for a Smaller Convex Subdifferential(Citations: 20)

Journal: Journal of Global Optimization , vol. 10, no. 3, pp. 305-326, 1997

### Semiregularity and Generalized Subdifferentials with Applications to Optimization(Citations: 7)

Journal: Mathematics of Operations Research - MOR , vol. 18, no. 4, pp. 982-1005, 1993

### Optimization and nonsmooth analysis(Citations: 3008)

Published in 1983.